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Finding the Fourth Proportional to 907.29, 1,360.62 and 257.94

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Solution

The fourth proportional to 907.29, 1,360.62 and 257.94 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.29 : 1,360.62 = 257.94 : x
  2. Step 2: Convert to fraction form
    907.29/1,360.62 = 257.94/x
  3. Step 3: Cross multiply
    907.29x = 1,360.62 × 257.94
  4. Step 4: Simplify right side
    907.29x = 350,958.32
  5. Step 5: Solve for x
    x = 350,958.32/907.29
  6. Step 6: Final answer
    x = 386.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.